If ON=8x-8, LM=7x+4, NM=x-5, and OL=3y-6,
find the values of x and y for which LMNO must
be a parallelogram.
{O is on the left, N is on top right, L is on bottom left
and M is on bottom right}
Thank You :)
Find the value of X and LM if L is Between N and M -NL=6x-5 LM=2x+3 and NM=30
How did you get 88
THANK YOU!!!!!!!!!!!! :) ^_^
the answer is not 88?! y=5
To determine the values of x and y for which LMNO must be a parallelogram, we need to consider a few properties of parallelograms.
First, in a parallelogram, opposite sides are equal in length.
Using this property, we can set up two equations:
ON = LM (opposite sides)
and
OL = MN (opposite sides)
Given the expressions for ON, LM, OL, and MN, we can substitute those values into these equations:
8x - 8 = 7x + 4 (Equation 1)
3y - 6 = x - 5 (Equation 2)
Let's solve these equations to find the values of x and y.
Equation 1:
8x - 8 = 7x + 4
To isolate the variable x, we can subtract 7x from both sides:
8x - 7x - 8 = 7x - 7x + 4
Simplifying the equation:
x - 8 = 4
To isolate x, we add 8 to both sides:
x - 8 + 8 = 4 + 8
Simplifying further:
x = 12
Now, let's substitute this value of x into Equation 2:
Equation 2:
3y - 6 = x - 5
Substituting x = 12:
3y - 6 = 12 - 5
Simplifying the equation:
3y - 6 = 7
To isolate the variable y, we add 6 to both sides:
3y - 6 + 6 = 7 + 6
Simplifying further:
3y = 13
Finally, to solve for y, we divide both sides by 3:
3y/3 = 13/3
Simplifying:
y = 13/3
Therefore, the values of x and y for which LMNO must be a parallelogram are x = 12 and y = 13/3.
opposite sides of a parallelogram are equal
7x+4 = 8x-8
x = 12
x-5 = 3y-6
12-5 = 3y-6
y = 13/3
ol = nm = 7
lm = on = 88